q-Catalan numbers and q-Narayana polynomials

2005/07/11 by Johann Cigler, Cigler, Johann
Mathematics · #05A15 #05A30 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Combinatorics (math.CO) #FOS: Mathematics #math.CO #msc:05A15 #msc:05A30

paper · pdf · doi:10.48550/arxiv.math/0507225

10 pages

arxiv created 2005/07/11 · openalex publication_date 2005/07/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note we show that various natural q-analogues of the Catalan numbers can be obtained in a uniform way. Furthermore we compute their Hankel determinants.

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